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Friedman test is used to assess whether there are any statistically significant differences between the distributions of three or more paired groups. It's recommended when the normality assumptions of the one-way repeated measures ANOVA test is not met or when the dependent variable is measured on an ordinal scale. Using R for data analysis, we'll use the self esteem score dataset measured over three time points. The data is available in the datarium package. At 0.05 level of significance, test whether the self esteem score was statistically significantly different at the different time points during the diet. R code and its output is given below.

Friedman test is used to assess whether there are any statistically significant differences between the distributions of three or more paired groups. It's recommended when the normality assumptions of the one-way repeated measures ANOVA test is not met or when the dependent variable is measured on an ordinal scale. Using R for data analysis, we'll use the self esteem score dataset measured over three time points. The data is available in the datarium package. At 0.05 level of significance, test whether the self esteem score was statistically significantly different at the different time points during the diet. R code and its output is given below.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Friedman test is used to assess whether there are any statistically significant differences between the distributions of three or more paired groups. It's recommended when the normality assumptions of the one-way repeated measures ANOVA test is not met or when the dependent variable is measured on an ordinal scale. Using R for data analysis, we ll use the self esteem score dataset measured over three time points. The data is available in the datarium package. At 0.05 level of significance, test whether the self esteem score was statistically significantly different at the different time points during the diet. R code and its output is given below. R code and its output data ("selfesteen", package = "datarium") head (selfesteem, 3) # + A tibble: 3 x 4 id <int> <dbl> <dbl> <dbl> t1 t2 t3 1 4.01 2 2.56 3 3.24 5.18 7.11 6.31 9.78 6.91 4.44 selfesteem <- selfesteem > gather (key = "time", value = "score", t1, t2, t3) $>8 convert_as_factor (id, time) head (selfesteem, 3) +# + A tibble: 3 x 3 id time <fet> <fct> <dbl> score ** 11 ti 4.01 * 2 2 4 33 t1 tl 2.56 3.24 selfesteem > group_by (time) %>* get_summary_atats(score, type = "common") # # A tibble: 3 x 11 time variable min max median igr mean sd ci n se <fct> <chr> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> # 1 t1 # 2 t2 +# 3 t3 10 10 2.05 3.91 4.00 3.21 0.571 3.14 0.552 0.174 0.395 4.60 0.89 3core score 6.91 4.93 0.863 0.273 0.617 Score 10 6.31 9.78 7.46 1.74 7.64 1.14 0.361 0.817 res.fried <- selfesteem >% friedman_test (score - time lid) res.fried +# + A tibble: 1 x 6 p method <dbl> <chr> 2 0.000112 Friedman test n statistic df -y. 4* <chr> <int> # 1 score <dbl> <dbl> 10 18.2 Which of the following is the correct of the result of the data analysis using R? I. The self esteem score was not statistically significantly different at the different time points during the diet. II. The self esteem score was statistically significantly different at the same time points during the diet. III. The self esteem score was statistically significantly different at the different time points during the diet. a I only b. II only c. Both I and II d. III only
Transcribed Image Text:Friedman test is used to assess whether there are any statistically significant differences between the distributions of three or more paired groups. It's recommended when the normality assumptions of the one-way repeated measures ANOVA test is not met or when the dependent variable is measured on an ordinal scale. Using R for data analysis, we ll use the self esteem score dataset measured over three time points. The data is available in the datarium package. At 0.05 level of significance, test whether the self esteem score was statistically significantly different at the different time points during the diet. R code and its output is given below. R code and its output data ("selfesteen", package = "datarium") head (selfesteem, 3) # + A tibble: 3 x 4 id <int> <dbl> <dbl> <dbl> t1 t2 t3 1 4.01 2 2.56 3 3.24 5.18 7.11 6.31 9.78 6.91 4.44 selfesteem <- selfesteem > gather (key = "time", value = "score", t1, t2, t3) $>8 convert_as_factor (id, time) head (selfesteem, 3) +# + A tibble: 3 x 3 id time <fet> <fct> <dbl> score ** 11 ti 4.01 * 2 2 4 33 t1 tl 2.56 3.24 selfesteem > group_by (time) %>* get_summary_atats(score, type = "common") # # A tibble: 3 x 11 time variable min max median igr mean sd ci n se <fct> <chr> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> # 1 t1 # 2 t2 +# 3 t3 10 10 2.05 3.91 4.00 3.21 0.571 3.14 0.552 0.174 0.395 4.60 0.89 3core score 6.91 4.93 0.863 0.273 0.617 Score 10 6.31 9.78 7.46 1.74 7.64 1.14 0.361 0.817 res.fried <- selfesteem >% friedman_test (score - time lid) res.fried +# + A tibble: 1 x 6 p method <dbl> <chr> 2 0.000112 Friedman test n statistic df -y. 4* <chr> <int> # 1 score <dbl> <dbl> 10 18.2 Which of the following is the correct of the result of the data analysis using R? I. The self esteem score was not statistically significantly different at the different time points during the diet. II. The self esteem score was statistically significantly different at the same time points during the diet. III. The self esteem score was statistically significantly different at the different time points during the diet. a I only b. II only c. Both I and II d. III only
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